Answer:
The simplified expression is 8⁶.
Step-by-step explanation:
[tex]\frac{8^-4}{8^-10}[/tex]
When there is a negative exponent, that term gets moved to the opposite side of the fraction and the exponent becomes positive. Example:
8⁻² = [tex]\frac{1}{8^2}[/tex] --- 8 is the same as [tex]\frac{8}{1}[/tex], if there is nothing left on one side, it is just 1
For this problem:
[tex]\frac{8^-4}{8^-10}[/tex]
We move each of the terms to the opposite side of the fraction.
[tex]\frac{8^10}{8^4}[/tex]
Then, when dividing exponents, you subtract them.
8¹⁰⁻⁴ = 8⁶
The simplified expression is 8⁶.
